diff --git a/test/test_nn.py b/test/test_nn.py
index d5c245c5887d2..0c84d6ffe129e 100644
--- a/test/test_nn.py
+++ b/test/test_nn.py
@@ -5176,18 +5176,20 @@ def test_batchnorm_buffer_update_when_stats_are_not_tracked(self):
     def test_batchnorm(self, dims, mode, memory_format, ref_backend, mixed, dtype):
         if torch.version.cuda:
             if self._testMethodName in ("test_batchnorm_2D_train_NCHW_vs_cpu_mixed_bfloat16",
-                                        "test_batchnorm_3D_train_NCHW_vs_cpu_mixed_bfloat16"):
-                self.skipTest("bfloat16 NHWC train failed on CUDA due to native tolerance issue "
-                              "https://github.com/pytorch/pytorch/issues/156513")
-            if self._testMethodName == "test_batchnorm_3D_train_NCHW_vs_native_mixed_float16":
-                self.skipTest("Batchnorm 3D NHWC train failed on CUDA")
+                                        "test_batchnorm_3D_train_NCHW_vs_cpu_mixed_bfloat16",
+                                        "test_batchnorm_2D_train_NHWC_vs_NCHW_mixed_bfloat16",
+                                        "test_batchnorm_3D_train_NHWC_vs_NCHW_mixed_bfloat16",
+                                        "test_batchnorm_3D_train_NCHW_vs_native_mixed_float16"):
+                self.skipTest("Failed on CUDA")
 
         if torch.version.hip:
             if self._testMethodName in ("test_batchnorm_2D_train_NCHW_vs_cpu_mixed_bfloat16",
-                                        "test_batchnorm_3D_train_NCHW_vs_cpu_mixed_bfloat16") \
+                                        "test_batchnorm_3D_train_NCHW_vs_cpu_mixed_bfloat16",
+                                        "test_batchnorm_2D_train_NHWC_vs_NCHW_mixed_bfloat16",
+                                        "test_batchnorm_3D_train_NHWC_vs_NCHW_mixed_bfloat16") \
                     and _get_torch_rocm_version() < (6, 4):
                 # NCHW bfloat16 path uses native kernels for rocm<=6.3
-                # train failed on rocm<=6.3 due to native tolerance issue
+                # train failed on rocm<=6.3 due to native accuracy issue
                 # https://github.com/pytorch/pytorch/issues/156513
                 self.skipTest("bfloat16 NHWC train failed on ROCm <= 6.3")
 
@@ -5197,9 +5199,8 @@ def test_batchnorm(self, dims, mode, memory_format, ref_backend, mixed, dtype):
                 # https://github.com/pytorch/pytorch/issues/156513
                 self.skipTest("bfloat16 NCHW train failed due to native tolerance issue")
 
-            if self._testMethodName == "test_batchnorm_3D_train_NCHW_vs_native_mixed_float16" \
-                    and _get_torch_rocm_version() < (7, 0):
-                self.skipTest("3D float16 NCHW train failed on ROCm<7.0")
+            if self._testMethodName == "test_batchnorm_3D_train_NCHW_vs_native_mixed_float16":
+                self.skipTest("3D float16 NCHW train failed on ROCm")
 
         if dims == 3 and memory_format in ("NHWC", "NCHW"):
             memory_format = memory_format + "3D"